The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesA. S. Barnes, 1839 - 412 páginas |
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Página 41
... radius ; so is any line from the centre to the circum- ference ; whence all radii of the same or of equal circles are equal . 15. The diameter of a circle is a right line drawn through the centre , and terminating in opposite points of ...
... radius ; so is any line from the centre to the circum- ference ; whence all radii of the same or of equal circles are equal . 15. The diameter of a circle is a right line drawn through the centre , and terminating in opposite points of ...
Página 42
... radius ; hence it is plain that the radius CD is the greatest possible sine , and thence is called the whole sine . Since the whole sine CD ( fig . 8 ) must be perpendicular to the diameter ( by def . 20 ) , therefore producing DC to E ...
... radius ; hence it is plain that the radius CD is the greatest possible sine , and thence is called the whole sine . Since the whole sine CD ( fig . 8 ) must be perpendicular to the diameter ( by def . 20 ) , therefore producing DC to E ...
Página 45
... radius the circum- ference of a circle may be described . 4. It is also required that the equality of lines and angles to others given , be granted as possible : that it is possible for one right line to be perpendicular to another at a ...
... radius the circum- ference of a circle may be described . 4. It is also required that the equality of lines and angles to others given , be granted as possible : that it is possible for one right line to be perpendicular to another at a ...
Página 53
... radius . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn , then AB = CB = AC . In the triangle ABC the angle ACB is 60 degrees , being measured by the arc AEB ; therefore the sum of the other ...
... radius . Thus in the circle AEBD , if the arc AEB be an arc of 60 degrees , and the chord AB be drawn , then AB = CB = AC . In the triangle ABC the angle ACB is 60 degrees , being measured by the arc AEB ; therefore the sum of the other ...
Página 57
... radius is to the tangent of an arc as the cosine of it is to the sine . 3. The sine of an arc is to its cosine as the radius to its cotangent . 4. Or the radius is to the cotangent of an arc as its sine to its co - sine . 5. The ...
... radius is to the tangent of an arc as the cosine of it is to the sine . 3. The sine of an arc is to its cosine as the radius to its cotangent . 4. Or the radius is to the cotangent of an arc as its sine to its co - sine . 5. The ...
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Términos y frases comunes
ABCD acres altitude arch base bearing blank line centre chains and links circle circumferentor column compasses contained Cosine Sine cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance multiplied needle nonius number of degrees object observed opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal screw secant sect sector semicircle side Sine Cotang square root station stationary distance subtract suppose survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 49 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 41 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 45 - A lemma is something which is premised, or demonstrated, in order to render what follows more easy. A corollary is a consequent truth derived immediately from some preceding truth or demonstration.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Página 21 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.